UP:MA19.MM.4

Vocabulary

  • Compound Interest
  • Geometric Sequence
  • Proportional Depreciation
  • Periodic
  • Annual Percentage Rate
  • Annual Percentage Yield

Knowledge

Students know:
  • how to select information from a real-world financial problem, such as the initial amount of the investment and its periodic rate of change, and use it along with a geometric sequence to model compound interest and proportional depreciation.

Skills

Students are able to:
  • Identify the first term and common ratio in a geometric sequence.
  • Recognize that the first term of a geometric sequence is the initial value of the loan or investment.
  • Recognize that the common ratio is either (1+rate of growth) or (1-Rate of decay).
  • Use a geometric sequence to model compound interest or proportional depreciation.
  • Display data found using a geometric sequence to model compound interest or proportional depreciation. Relate APR to APY using compound interest formulas.

Understanding

Students understand that:
  • the initial amount of an investment or a loan and its periodic rate of change correlate to the first term and the common difference in a geometric sequence.
  • Geometric sequences can be used to model compound interest and proportional depreciation.
  • The annual percentage rate is the yearly rate of interest while the annual percentage yield is the rate you actually pay when compound interest is included.
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